Improved Quantum Computation using Operator Backpropagation

• URL: http://arxiv.org/abs/2502.01897v1
• Date: Tue, 04 Feb 2025 00:03:07 GMT
• Title: Improved Quantum Computation using Operator Backpropagation
• Authors: Bryce Fuller, Minh C. Tran, Danylo Lykov, Caleb Johnson, Max Rossmannek, Ken Xuan Wei, Andre He, Youngseok Kim, DinhDuy Vu, Kunal Sharma, Yuri Alexeev, Abhinav Kandala, Antonio Mezzacapo,
• Abstract summary: We show a framework that integrates classical simulations with quantum hardware to improve the computation of an observable's expectation value. In this framework, a quantum circuit is partitioned into two subcircuits: one that describes the backpropagated Heisenberg evolution of an observable, executed on a classical computer, and the other is a Schr"odinger evolution run on quantum processors. We demonstrate the effectiveness of this method on a Hamiltonian simulation problem, achieving more accurate expectation value estimates compared to using quantum hardware alone.
• Score: 5.066470263702309
• License:
• Abstract: Decoherence of quantum hardware is currently limiting its practical applications. At the same time, classical algorithms for simulating quantum circuits have progressed substantially. Here, we demonstrate a hybrid framework that integrates classical simulations with quantum hardware to improve the computation of an observable's expectation value by reducing the quantum circuit depth. In this framework, a quantum circuit is partitioned into two subcircuits: one that describes the backpropagated Heisenberg evolution of an observable, executed on a classical computer, while the other is a Schr\"odinger evolution run on quantum processors. The overall effect is to reduce the depths of the circuits executed on quantum devices, trading this with classical overhead and an increased number of circuit executions. We demonstrate the effectiveness of this method on a Hamiltonian simulation problem, achieving more accurate expectation value estimates compared to using quantum hardware alone.

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